Notes Kepler's problem by H-J method Kepler's problem is basically a problem related to central force. For simplicity we take inverse square force between nucleus of charge 'Ze' and electron of charge 'e'. One of the ...

Notes Freely falling particle using the H-J method To determine the motion of a particle falling vertically in a uniform gravitational field, the Hamiltonian is given byH = T + V = p²/ 2m + mgy .........1...